Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520cn |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
2122945380125000000 = 26 · 59 · 198 |
Discriminant |
Eigenvalues |
2- -2 5- 4 3 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420685,78062025] |
[a1,a2,a3,a4,a6] |
Generators |
[120:5415:1] |
Generators of the group modulo torsion |
j |
7575076864/1953125 |
j-invariant |
L |
6.8626020455286 |
L(r)(E,1)/r! |
Ω |
0.24410680969641 |
Real period |
R |
1.0412263654673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520u2 28880q2 115520cw2 |
Quadratic twists by: -4 8 -19 |